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                Password                </h1>
                <p>时间限制：5s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：64MB</p>			</div>
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                                <h3>题目描述</h3><p><pre class="line mt-10 q-content" style="white-space: pre-wrap; word-wrap: break-word; font-size: 14px; line-height: 23px;">
Rivest是密码学专家。近日他正在研究一种数列E = {E[1],E[2],&hellip;&hellip;,E[n]}，<br />且E[1] = E[2] = p（p为一个质数），E[i] = E[i-2]*E[i-1] （若2&lt;i&lt;=n）。<br /></pre>
<div style="font-family: Arial; font-size: 14px; line-height: 23px;">例如{2,2,4,8,32,256,8192,&hellip;&hellip;}就是p = 2的数列。在此基础上他又设计了一种加密算法，该算法可以通过一个密钥q (q &lt; p)将一个正整数n加密成另外一个正整数d，计算公式为：d = E[n] mod q。现在Rivest想对一组数据进行加密，但他对程序设计不太感兴趣，请你帮助他设计一个数据加密程序。</div></p><hr/><h3>输入格式</h3><p><p>第一行读入m，p。其中m表示数据个数，p用来生成数列E。 以下有m行，每行有2个整数n，q。n为待加密数据，q为密钥。 数据范围:  0 &lt; p n&lt; 2^31 0 &lt; q &lt; p 0 &lt; m &lt;= 5000。</p></p><hr/><h3>输出格式</h3><p><p>将加密后的数据按顺序输出到文件 第i行输出第i个加密后的数据。  输入样例1 2 7 4 5 4 6  输入样例2 4 7 2 4 7 1 6 5 9 3</p></p><hr/><h3>样例输入</h3><pre>输入样例1 
2 7 
4 5 
4 6 
输入样例2 
4 7 
2 4 
7 1 
6 5 
9 3 </pre><hr/><h3>样例输出</h3><pre>输出样例1
3
1

输出样例2
3
0
1
1</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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